What is the slope-intercept form of the line passing through # (3,0) # and # (-4, 1) #?
After using slope formula for known 2 points,
After using formula for known slope and a point,
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The slope-intercept form of a line is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
To find the slope ( m ), we use the formula:
[ m = \frac{{\text{change in } y}}{{\text{change in } x}} ]
Given the points (3,0) and (-4,1), the change in ( y ) is ( 1 - 0 = 1 ) and the change in ( x ) is ( -4 - 3 = -7 ).
So, the slope ( m = \frac{1}{-7} = -\frac{1}{7} ).
Next, to find the y-intercept ( b ), we can use one of the points. Let's use (3,0):
[ 0 = (-\frac{1}{7})(3) + b ] [ 0 = -\frac{3}{7} + b ] [ b = \frac{3}{7} ]
Therefore, the equation of the line passing through (3,0) and (-4,1) in slope-intercept form is ( y = -\frac{1}{7}x + \frac{3}{7} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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